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Finding the Fourth Proportional to 21,256.40, 31,871.84 and 8,109.76

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Solution

The fourth proportional to 21,256.40, 31,871.84 and 8,109.76 is: 12,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,256.40 : 31,871.84 = 8,109.76 : x
  2. Step 2: Convert to fraction form
    21,256.40/31,871.84 = 8,109.76/x
  3. Step 3: Cross multiply
    21,256.40x = 31,871.84 × 8,109.76
  4. Step 4: Simplify right side
    21,256.40x = 258,472,973.16
  5. Step 5: Solve for x
    x = 258,472,973.16/21,256.40
  6. Step 6: Final answer
    x = 12,159.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.